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2 years ago

A rectangular picture frame measures 57 cm by 39 cm. What is the perimeter or distance around the picture frame in meters?

Mathematics

2 answers:

Tamiku [17]2 years ago

8 0

The answer is 192 cm

Svetlanka [38]2 years ago

4 0

(57*2)+(39*2)=192cm now that we have the perimeter we divide it by 100 because 100cm equal one meter so therefore u should get 1.92 meters and if u want it in fraction form 1 4/25 meters

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PLEASE HELP!!!!!! A linear function has a y-intercept of -12 and a slope of 3/2. What is the equation of the line?

Evgesh-ka [11]

Answer:

A, y = 3x/2 - 12

Step-by-step explanation:

Use the equation y = mx + b.

m = 3/2

b = -12

y = 3x/2 - 12

7 0

2 years ago

Read 2 more answers

ariana grande is coming to north gulfport middle school for a fundraising benefit concert!Nevaeh is selling tickets.This week,sh

ArbitrLikvidat [17]

Answer:

Adult = $7

Kids = $4

Step-by-step explanation:

Before we can find the price of the tickets, we first need to create expressions that can be used to explain the prices.

Let x = Price of kids tickets

Let y = Price of adults tickets

For this week the expression is:

3x + 9y = 75

For the last week the expression is:

8x + 5y = 67

Now to be able to find the value of x or y, we can use the Solving Linear Equations by Multiplying First Method.

3x + 9y = 75

8x + 5y = 67

Now we need to remove either the x or y by multiplying the whole expressions by a certain number.

8(3x + 9y = 75)

24x + 72y = 600

3(8x + 5y = 67)

24x + 15y = 201

Now that we have our equations and we can eliminate the x by subtracting both expressions.

24x + 72y = 600

- 24x + 15y = 201

57y = 399

To find the value of y, we divide both sides by 57.

$\dfrac{57y}{57}=\dfrac{399}{57}$

y = 7

Now that we have the value for y, we simply substitute the value in any of our expressions.

3x + 9y = 75

3x + 9(7) = 75

3x + 63 = 75

3x = 75 - 63

3x = 12

Now we divide both sides by 3 to find the value of x.

$\dfrac{3x}{3}=\dfrac{12}{3}$

x = 4

So the ticket prices are:

Adult = $7

Kids = $4

3 0

2 years ago

Please help! Please explain how to do this, I am so lost.

alexdok [17]

Ok, so we know that RST is equal to 6x+12
And RST is also equal to 78 + 3x-12
so we set them equal to each other

6x + 12 = 3x - 12 + 78
And simplify
3x = 54
x = 18

Finally, we solve for the angle with 18 for x

6(18) + 12
108 + 12
120

Hope this helps

8 0

2 years ago

Sin4x.sin5x+sin4x.sin3x-sin2x.sinx=0

andreev551 [17]

Recall the angle sum identity for cosine:

cos(x + y) = cos(x) cos(y) - sin(x) sin(y)

cos(x - y) = cos(x) cos(y) + sin(x) sin(y)

==> sin(x) sin(y) = 1/2 (cos(x - y) - cos(x + y))

Then rewrite the equation as

sin(4x) sin(5x) + sin(4x) sin(3x) - sin(2x) sin(x) = 0

1/2 (cos(-x) - cos(9x)) + 1/2 (cos(x) - cos(7x)) - 1/2 (cos(x) - cos(3x)) = 0

1/2 (cos(9x) - cos(x)) + 1/2 (cos(7x) - cos(3x)) = 0

sin(5x) sin(-4x) + sin(5x) sin(-2x) = 0

-sin(5x) (sin(4x) + sin(2x)) = 0

sin(5x) (sin(4x) + sin(2x)) = 0

Recall the double angle identity for sine:

sin(2x) = 2 sin(x) cos(x)

Rewrite the equation again as

sin(5x) (2 sin(2x) cos(2x) + sin(2x)) = 0

sin(5x) sin(2x) (2 cos(2x) + 1) = 0

sin(5x) = 0 or sin(2x) = 0 or 2 cos(2x) + 1 = 0

sin(5x) = 0 or sin(2x) = 0 or cos(2x) = -1/2

sin(5x) = 0 ==> 5x = arcsin(0) + 2nπ or 5x = arcsin(0) + π + 2nπ

… … … … … ==> 5x = 2nπ or 5x = (2n + 1)π

… … … … … ==> x = 2nπ/5 or x = (2n + 1)π/5

sin(2x) = 0 ==> 2x = arcsin(0) + 2nπ or 2x = arcsin(0) + π + 2nπ

… … … … … ==> 2x = 2nπ or 2x = (2n + 1)π

… … … … … ==> x = nπ or x = (2n + 1)π/2

cos(2x) = -1/2 ==> 2x = arccos(-1/2) + 2nπ or 2x = -arccos(-1/2) + 2nπ

… … … … … … ==> 2x = 2π/3 + 2nπ or 2x = -2π/3 + 2nπ

… … … … … … ==> x = π/3 + nπ or x = -π/3 + nπ

(where n is any integer)

5 0

2 years ago

If it snows tomorrow the probability is 0.8 that John will practice his trombone if it does not snow tomorrow there is only a 0.

Bas_tet [7]

Answer:

0.68

Step-by-step explanation:

Given that :

P(trombone | snow) = 0.8 ;

P(trombone | no snow) = 0.5

P(snow) = 0.6

P(trombone) = P(trombone | snow) * p(snow) + P(trombone | no snow) * p(no snow)

P(no snow) = 1 - 0.6 = 0.4

Hence,

P(trombone) = P(trombone | snow) * p(snow) + P(trombone | no snow) * p(no snow)

P(trombone) = (0.8 * 0.6) + (0.5 * 0.4)

P(trombone) = 0.48 + 0.20

P(trombone) = 0.68

7 0

2 years ago